User guide for MINPACK-1. [In FORTRAN]

By Jorge J. Moré, B. S. Garbow, K. E. Hillstrom. 1980

Subfields: Mathematical Optimization, Numerical Methods & Scientific Computing

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Citations in the corpus

K-Corrections and Spectral Templates of Type Ia Supernovae (2007, methodology): “The parameters are quantitatively determined by minimizing these errors using nonlinear least-squares fitting (Moré et al. 1980).”
ULySS: a full spectrum fitting package (2009, methodology): “The parameters of each CMPi are in general non-linear and are evaluated together as those of the LOSVD with a Levenberg-Marquardt (Marquart 1963; Moré et al. 1980) routine (hereafter LM).”
The first data release (DR1) of the LAMOST regular survey (2015, methodology): “The parameters of the TGM are evaluated together with those of the line-of-sight velocity distribution (LOSVD) using a Levenberg-Marquardt (Marquardt 1963; Moré et al. 1980) routine (hereafter LM).”
VALIDATION OF KEPLER'S MULTIPLE PLANET CANDIDATES. III. LIGHT CURVE ANALYSIS AND ANNOUNCEMENT OF HUNDREDS OF NEW MULTI-PLANET SYSTEMS (2014, methodology): “To support the SME and SpecMatch analyses, high resolution spectra were taken of multi-planet candidate host stars with HIRES spectrometer on the Keck I telescope using the observing setup of the CPS group (Marcy et al. 2008).”
Best practices for differentiated products demand estimation with PyBLP (2020, methodology): “The MINPACK (More et al., 1980) implementations of algorithms that do require a Jacobian—a modification of the Powell hybrid method and Levenberg-Marquardt (LM)—only support relative L2 norm tolerances, so for comparison’s sake we also include SQUAREM with the same termination condition.”
Improving the full spectrum fitting method: accurate convolution with Gauss-Hermite functions (2016, methodology): “This makes the method much more robust and efficient than generic optimizers of scalar functions. ppxf uses the state-of-the-art minpack implementation of the Levenberg-Marquardt method by Moré et al. (1980), which is based on the robust trust region method.”
SBA: A software package for generic sparse bundle adjustment (2009, methodology): “…linear system has complexity O ( N 3 ) in the number of unknown parameters, it is clear that general-purpose LM codes such as, for example, MINPACK’s LMDER routine [Mor´e et al. 1980], are computationally very demanding when employed to minimize functions depending on a large number of parameters.”